Hyperbolic stefan problem in a curvilinear sector

• Date: 1997
• Main Authors: Berehova, H. I., Kirilich, V. M., Берегова, Г. І., Кирилич, В. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5173
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The problem with unknown boundaries for a first-order semilinear hyperbolic system is studied in the case where the curve of definition of the initial conditions degenerates to a point. An existence and uniqueness theorem for a classical solution of the problem is proved for small t.